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Author:

Zhao, Chunshan (Zhao, Chunshan.) | He, Yinnian (He, Yinnian.)

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Scopus SCOPUS

Abstract:

We study the existence and uniqueness of global Ln strong solutions to the Magneto-Hydro-Dynamics (MHD) equations in the whole ℝn space. Under smallness assumption on suitable norms of initial data and external force, existence and uniqueness of global L n strong solutions are proved. Moreover, we also present some algebraic decay properties of the unique global Ln strong solution under some assumptions on both initial data and external force. Copyright ©2007 Watam Press.

Keyword:

Algebraic decay Existence and uniqueness MHD equations Strong solution

Author Community:

  • [ 1 ] [Zhao, Chunshan]Georgia Southern University, Department of Mathematical Sciences,Statesboro,United States
  • [ 2 ] [He, Yinnian]Xi'an Jiaotong University, School of Mathematics and Statistics,Xi'an,China
  • [ 3 ] [He, Yinnian]Xinjiang University, College of Mathematics and System Sciences,Urumqi,China

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Source :

Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis

ISSN: 1201-3390

Year: 2007

Issue: 6

Volume: 14

Page: 805-835

0 . 2 4 4

JCR@2006

JCR Journal Grade:4

Cited Count:

WoS CC Cited Count: 2

SCOPUS Cited Count:

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 9

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